|
Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2013, Volume 54, Issue 4, Pages 109–113
(Mi pmtf1162)
|
|
|
|
Permeability coefficient in Darcy's filtration law
V. P. Bushlanov, I. V. Bushlanov, E. N. Sentyakova Admiral Ushakov Maritime State University, Novorossiisk, 353925, Russia
Abstract:
Using the equation of living forces averaged over the volume of the filter and obtained from the Navier–Stokes equations of an incompressible fluid, an analytical formula for the permeability coefficient in the classical Darcy problem is derived to within the principal terms of the Poiseuille number. It is shown that the resulting permeability coefficient is inversely proportional to the square of the specific surface area and the dimensionless average dissipation rate of the kinetic fluid energy in the filter.
Keywords:
Darcy's law, permeability coefficient, specific surface area.
Received: 16.01.2012 Revised: 26.02.2013
Citation:
V. P. Bushlanov, I. V. Bushlanov, E. N. Sentyakova, “Permeability coefficient in Darcy's filtration law”, Prikl. Mekh. Tekh. Fiz., 54:4 (2013), 109–113; J. Appl. Mech. Tech. Phys., 54:4 (2013), 608–611
Linking options:
https://www.mathnet.ru/eng/pmtf1162 https://www.mathnet.ru/eng/pmtf/v54/i4/p109
|
Statistics & downloads: |
Abstract page: | 23 | Full-text PDF : | 7 |
|